Neutral multivalued integro-differential evolution equations with infinite state-dependent delay

Authors: ABDELAZIZ MEBARKI, SELMA BAGHLI BENDIMERAD

Abstract: Our problem through this work is to give the existence of mild solutions for the first order class of neutral functional multivalued integro-differential evolution equations with infinite state-dependent delay using the nonlinear alternative of Frigon for multivalued contraction maps in Fréchet spaces combined with the semi-group theory.

Keywords: Neutral integro-differential evolution inclusions, mild solution, state-dependent delay, fixed-point, semigroup theory, Fr\'echet spaces

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